Final answer:
Bernoulli's Equation makes five key assumptions: the fluid is incompressible and frictionless, the flow is steady, the flow occurs in a streamline, and the equation applies along a streamline.
Step-by-step explanation:
Bernoulli's Equation and Its Assumptions
Bernoulli's equation is a fundamental principle in fluid dynamics that relates the pressure, velocity, and height at two points in an incompressible, frictionless fluid. The equation assumes that the sum of pressure energy, kinetic energy, and potential energy remains constant throughout the fluid flow. To apply Bernoulli's Equation, we make five critical assumptions:
- The fluid must be incompressible; its density does not change significantly with pressure.
- There must be no viscous forces present; the fluid is frictionless.
- The flow must be steady; the fluid's properties at any point do not change over time.
- The flow must occur in a streamline; fluid particles follow smooth paths that are parallel at any cross-section.
- The equation applies along a streamline; not necessarily across different streamlines.
These assumptions allow for the use of Bernoulli's equation to solve various problems related to fluid flow, including those involving changes in pressure, velocity, and elevation.